Current Attempt in Progress Find curl(6z i + 7x j + 9y k). curl(6z i + 7x j+ 9y k) = ( i Di +( i )j +( i )k

Q: The point P(4, 24) lies on the curve y = z + x +4. If Q is the point (x, x² + x + 4), find the slope…

A:

Q: a. Find the derivative function f' for the function f. b. Determine an equation of the line tangent…

A: Given : f(x)=7x+1   To Find : a) Derivative of f(x) b) Tangent at point (a,f(a)) where a=5

Q: Find fy (-1,-4,-2) if f(x, y, z) = x³ z4 + 2xy – y? z + 1.

A:

Q: Problem 8 Find the following indefinite integrals: (a) [3r°dr (b) S(3r® +9x² – 12r)dr (c) S(7x-1…

A: topic- indefinite integral ∫xndx=xn+1n+1+C

Q: Suppose that f (x) is a function such that lim f(r) and lim f (r) both exist. Does this mean lim…

A:

Q: Find the 73rd derivative of the function f(x) = 2 sin(x). f (73) (x)

A:

Q: 10 8 10 f (x) dr=17 and f (x) dr = 12, then f (x) dx=5. A True B False

A: we use the properties of definite integral

Q: Improper Integral. KINDLY EVALUATE and Identufy whether convergent or divergent

A:

Q: Differentiate. 1. y = 7 2. y = 6 7. y = 72 9. y = e 8. y = 4*s 10. y= e 3. f(x) = 8* 4. f(x) = 15

A:

Q: Use power series operations to find the Taylor series at x= 0 for the following function. 17x e* The…

A: we want to find taylor series of the function 17 x ex  about  x=0

Q: 21 13 f(x)dx – f(x)dr f(x)dx where a = and b

A:

Q: Question 15 The price per barrel of crude oil can be approximated by the function, P(t) = 0.45t? -…

A: We have to find the average rate of change of function.

Q: Find the area of the region enclosed by the curves y=x2−2 and y=2.

A: Integration is done after calculating the intersection points of both the equations.

Q: as (x*ty3) dx -2メydy =0 a.) prove if the given DE is exact or non -exact - Given DE b.) Find its…

A:

Q: (x^2+y^2-3)dx-2xydy=0 Prove the given DE is exact, and find general solution

A:

Q: 3. Find a unit vector that points in the opposite direction as = 27 +7]-5k. %3D 4 Find a vector that…

A:

Q: Find the points on the surface 6x² + y² – 3z² = 4 where the tangent plane to the surface is parallel…

A: We want (x,y,z) such that 6x2+y2-3z2=4 and ∇f(x,y,z)=λ(2i→+7j→-k→) for some λ where…

Q: Find V. (F x G), if F(x, y, z) = 10ci +j+13yk and G(x, y, z) = xi + yj – zk. V. (F × G) :

A: To solve the following problem

Q: Determine the lowest positive root of f (x) = 8 sin(x)e–x − 1:        a.  Graphically.        b.…

A: The given function,     f(x)=8sin(x)e-x-1

Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

A: Solution: C′(x)=3x2 −5x​; C(0)=2,000

Q: Find an equation of the tangent plane to the given surface z = x sin(x + y) at the point (-1, 1, 0).

A: Given,  z=x sin(x+y) ⇒x sin(x+y)-z=0 Let f(x,y,z)=x sin(x+y)-z Recall: The equation of the tangent…

Q: Find the divergence of the vector field F. F(x, y) = 8xe*i – 7x²y²j |

A:

Q: Consider the indefinite integral dx: (2² + 2)? This can be transformed into a basic integral by…

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 5 tan(7x) sec2(7x) dx

A:

Q: Find the area bounded by the graphs of the indicated equations over the given interval.     y=−ex​;…

A: Note:- Here your equation of equation we use y=-ex , y=0 , -2≤x≤1  Given problem:- Find the area…

Q: Find all the first and second partial derivatives of the function f(x, y) = x²y – 3y“.

A:

Q: Find the function y = y(x) (for x > 0) which satisfies the separable differential equation dy 4+ 12x…

A:

Q: Use substitution to find the indefinite integral. Зх + 7 (6x + 28x) 5 3x +7 (6x² + 28x) =xp.

A:

Q: Evaluate the double integral.

A: Given

Q: lim 2?e --00 1- cos(2x) im

A:

Q: Evaluate the integral using the following values. 8 8. x3 dx = 960, x dx = 24, dx = 4 x3 dx

A:

Q: (ar3+ bx2+ cx) dr =2b x2dx where a,b and c are constana A) True

A:

Q: Question 24 Solve the problem. Calculate the volume of the parallelepiped with edges a = (2, 4. 1),…

A:

Q: Find the solution of the linear System by esing Al; X, +2X2+3X3 - 5

A: The system of equation can be written as;Ax=BA=123253108 , x=x1x2x3 ,…

Q: For the matrix A, find (if possible) a nonsingular matrix P such that P-1AP is diagonal. (If not…

A:

Q: Find the indefinite integral by using the substitution x = 3 sec(0). (Use C for the constant of…

A:

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

A:

Q: 2 - x 3. Let f(x) = ! + In x. It is known that f'(x) 1 and f"(x) = x2 x3 (a) State the domain of f.…

A:

Q: 5. Write an expression equal to - log. (c) · log (b) |using exactly one log. (hint: the base of the…

A: To answer the given question of logarithms.

Q: Find the particular solution determined by the given condition. f'(x) = x2/5 + x; f(1) = -6 f(x) = =…

A: We can find the particular solution as below.

Q: Find the total income produced by a continuous income stream in the first 5 years if the rate of…

A:

Q: Evaluate the integral dx (5x + 9)* by making the appropriate substitution: u = dx (5x + 9)*

A:

Q: Find the area of the region bounded by the graphs of the equations. Use a graphing utility to verify…

A: This question can be solved using the concept of area under curve.

Q: lim (1+ sin(18a))/(2«) (A) e? (B) eº (C) e18 (D) ∞ (E) 1 we the question carefully edited 8:11 PM /

A:

Q: Solve the initial value problem. 4 y(x) = 4 sec(3.x) tan(3.x) ; y(7) = %3D 3

A: y'(x) =4 sec(3x) tan(3x)y(x)=∫ 4 sec(3x) tan(3x) dx3x=t,dx=dt3y(x)=43∫ sec(t) tan(t) dt     =43 sect…

Q: dr 2 Vr*+3

A:

Q: sin(ry), Which of the following is TRUE for lim(z,1)>(0,0) Lütfen birini seçin: a.The limit value is…

A: Limit

Q: Graphs of Logarithmic Functions Formulas for the Graphs 5- a. f(x) = – log,(z) 4- b. f(æ) = log,(x)…

A:

Q: Find the exact average value fave Of f(x) = V4 - x between 0 and 2, then find an exact number c in…

A:

Q: Evaluate the integral 7x sin y dy dx. 00 The value is (Type an exact answer, using x as needed.)

A: